Deterministic Analysis of Aleatoric Methods of Polynomial Factorization over Finite Fields
β Scribed by M. Rothstein; H. Zassenhaus
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 677 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
We analyze the problem of finding the roots of an arbitrary polynomial over a finite field (equivalent to factoring an arbitrary polynomial over the field) and propose a deterministic approach which leads to a combinatorial problem whose satisfactory solution would yield a factoring method which is polynomial in the logarithm of the size of the field and the degree of the input polynomial. 1994 Academic Press, Inc.
π SIMILAR VOLUMES
Let T n (x, a) Κ¦ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the first kind or the second kind of degree n in the indeterminate x and with parameter a. We give a complete description of the factorization of T n (x, a) over GF(q).
Counting irreducible factors of polynomials over a finite field, Discrete Mathematics, 112 (1993) 103-l 18. Let F,[X] denote a polynomial ring in an indeterminate X over a finite field IF,. Exact formulae are derived for (i) the number of polynomials of degree n in F,[X] with a specified number of i
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